Non-commutative Fractal Geometry: New Invariants. This project capitilises on Australian strengths in mathematics, particularly non-commutative and fractal geometry. It will maintain and extend Australia's prominence in these subjects, providing excellent training and opportunities for young researchers. Given the wide range of applications of fractals, there is potential for future technological spin offs for Australia.
Inference in partially non-stationary time series models. Economic theories typically specify the long-run relationship between economic variables. However, researchers usually examine the long-run features of the data by fitting a restrictive class of models using criteria that have only proven useful for short-term forecasting. In this project we consider alternative models and modelling strategies that are appropriate for the study of the long-run. We also develop computer intensive (bootstra ....Inference in partially non-stationary time series models. Economic theories typically specify the long-run relationship between economic variables. However, researchers usually examine the long-run features of the data by fitting a restrictive class of models using criteria that have only proven useful for short-term forecasting. In this project we consider alternative models and modelling strategies that are appropriate for the study of the long-run. We also develop computer intensive (bootstrap) methods, which will provide a much-needed improvement over the existing (asymptotic) methods for making inference about the long-run. Our research will lead to more reliable models for long-term planning in business, industry and government.Read moreRead less
Vector ARMA Models and Macroeconomic Modelling: Some New Methodology and Algorithms. Economic variables are strongly related to each other, as well as being strongly related to their recent history. As a result, good dynamic multivariate models are crucial for effective policy making and forecasting in areas of vital national importance such as monetary and fiscal policy, environmental policy and tourism. Our project advances the frontiers of knowledge in multivariate time series modelling. The ....Vector ARMA Models and Macroeconomic Modelling: Some New Methodology and Algorithms. Economic variables are strongly related to each other, as well as being strongly related to their recent history. As a result, good dynamic multivariate models are crucial for effective policy making and forecasting in areas of vital national importance such as monetary and fiscal policy, environmental policy and tourism. Our project advances the frontiers of knowledge in multivariate time series modelling. The outcome of this project will be immediately useful for macroeconomic policy makers such as the Reserve Bank of Australia and the Treasury, and for industry bodies such as Tourism Australia. Read moreRead less
Engineering phase and the flow of light in nanophotonics. Optical devices on the scale of only billionths of a meter impel photonic revolution in information technologies. The extraordinary sensitivity and tunability of light confined on nano-scale is caused by the yet unexplored and poorly understood world of tiniest flows of energy, the optical vortices. In this project we will learn to manipulate optical vortices with the light itself, introducing original concepts for intelligent engineering ....Engineering phase and the flow of light in nanophotonics. Optical devices on the scale of only billionths of a meter impel photonic revolution in information technologies. The extraordinary sensitivity and tunability of light confined on nano-scale is caused by the yet unexplored and poorly understood world of tiniest flows of energy, the optical vortices. In this project we will learn to manipulate optical vortices with the light itself, introducing original concepts for intelligent engineering of nano-elements of a photonic chip. This project will deliver underpinning knowledge, foremost practical expertise, and the prominent training of young researchers to secure Australia's international leadership in the rapidly growing and competitive field of nanophotonics.Read moreRead less
Singular photonics: twisted light and optical vortices.
This project will help to establish and support a world-leading research team in Australia in the field of singular photonics and the physics of twisted light; it will help to return the leading positions of the Australian physics in the field of singular optics, and it will initiate a design of a novel generation of photonic devices operating with vortex beams. The project will promote this field in order to enhance its rapid development ....Singular photonics: twisted light and optical vortices.
This project will help to establish and support a world-leading research team in Australia in the field of singular photonics and the physics of twisted light; it will help to return the leading positions of the Australian physics in the field of singular optics, and it will initiate a design of a novel generation of photonic devices operating with vortex beams. The project will promote this field in order to enhance its rapid development and facilitate the emergence of novel technologies in Australia; it will be combined with an extensive collaboration with top overseas groups attracting strong interest from industry.Read moreRead less
Integrated Photonics for Secure Communication and Related Applications in Financial Transaction Data Analysis. The project includes excellent basic science, semiconductor device fabrication and applied mathematics with explicitly identified consequences for innovation. There is strong potential for national economic benefits through the manufacture of new integrated photonic devices, the application of these devices in secure communication systems, the research of advanced non-linear analysis pr ....Integrated Photonics for Secure Communication and Related Applications in Financial Transaction Data Analysis. The project includes excellent basic science, semiconductor device fabrication and applied mathematics with explicitly identified consequences for innovation. There is strong potential for national economic benefits through the manufacture of new integrated photonic devices, the application of these devices in secure communication systems, the research of advanced non-linear analysis protocols, and the implementation of these in financial transaction analysis. Professional development and research education of postgraduate students and early career researchers will be carried out in a multi-disciplinary research environment with ongoing uptake of the research in industry and commercial sectors.Read moreRead less
Design Efficient Routing Protocols For WDM Optical Networks. The optical network technique plays a key role to the next-generation networks. In particular, wavelength-division-multiplexing (WDM) optical networks have emerged as a promising candidate for next-generation networks in providing huge available bandwidth and connectivity.
Routing and wavelength assignment problem is one of the fundamental problems in WDM optical networks. In this project we primarily focus on devising and analyzing ....Design Efficient Routing Protocols For WDM Optical Networks. The optical network technique plays a key role to the next-generation networks. In particular, wavelength-division-multiplexing (WDM) optical networks have emerged as a promising candidate for next-generation networks in providing huge available bandwidth and connectivity.
Routing and wavelength assignment problem is one of the fundamental problems in WDM optical networks. In this project we primarily focus on devising and analyzing efficient routing algorithms for all-to-all routing and robust routing in the WDM networks. Incorporated with various known techniques, practical algorithms will be developed. The algorithms and techniques developed in this project will be through simulation, testing, and implementation.Read moreRead less